An Interesting Add Maths Logarithm Question
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An interesting brain teaser
Question We have 100 lamps, numbered 1, 2, …, 100. Initially they are all off. 1) we press…
Solve for x and y which are both real numbers? Given that 4x+3y(i-1)-12(1-i)=9-2x(1+i)+(1-2y)i
Answer 4x+3y(i-1)-12(1-i)=9-2x(1+i)+(1-2y)i Separate the ‘real’ and ‘complex’ part as follows: (4x – 3y -12) + (3y + 12)i…
In triangle ABC, angle ABC=15 degrees, angle ACB=30 degrees, AD is the median to side BC, A-D-C. angle BAD=?
Answer We will use the Sine Rule. In triangle ABD, AD / sin(ABD) = BD / sin(BAD) So…
Primary 3 Singapore Maths Example 2
Question: Mr. Tan has 216 apples and pears altogether. He packed all the apples and pears into 30…
The Mammon Effect
. . . . . . . . . . . A very interesting question (please see…
Let n, m be an element of Z+ and a,b be elements of Z. Suppose that a=b(modn) and a =b(modm) and that (n,m)=1. Prove that a=b(mod nm)
Answer Z+ means positive integers. Proof. (a – b) is divisible by n. (a – b) = pn…
